dy/dx of logx/√(x^2-a^2)

[serene canopy]

i have solved them and now stuck at logx/x/√(x^2-a^2)

[flint cape]

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[feral drift]

can u show ur solving once

[serene canopy]

wait

let me get my mom's phone to take picture

[feral drift]

alright

[serene canopy]

here

i somehow have to get it in logx/√(x^2-a^2) form

for quotient rule

[feral drift]

$\frac{dy}{dx}=\frac{\frac{d logx}{dx}\cdot\sqrt{x^{2}-a^{2}} - logx \cdot \frac{d \sqrt{x^{2}-a^{2}}}{dx}}{x^{2}-a^{2}}$

[serene canopy]

what

[feral drift]

uh wait

[feral drift]

also

derivate of log x is not 1/x

its $\frac{1}{x lna}$ where a is the base

[warm wing]

rev #tea4life

[serene canopy]

i havent derivated it

yet

i kept it for the quoatient rule

isnt logx just log base e and x

[warm wing]

rev #tea4life

[serene canopy]

yo i converted this and

what happened to the x in x/√(x^2-a^2)

[feral drift]

yk what, i can't do shit with this bot

I'll send pics

[serene canopy]

okay

[feral drift]

tell me one thing

is the base in the log 10 or e

[serene canopy]

e

[feral drift]

then it's natural log

[serene canopy]

yea

[feral drift]

i thought it was base 10

[serene canopy]

1/x

[feral drift]

so it's d/dx will be 1/x

yes now i know

[serene canopy]

yea

[feral drift]

here btw the sign between the two fractions is -ve

did u get it till here?

[serene canopy]

i used chain rule at the denominator

lemme try againn

[feral drift]

you brought the denominator up?

like $(\sqrt{x^{2}-a^{2}})^{-1}$

this?

[serene canopy]

no

[warm wing]

rev #tea4life

[serene canopy]

used it at the bottom

like u = logx

[feral drift]

I'd just use quotient rule

[serene canopy]

v=√(x^2-a^2)

[serene canopy]

lemme try with quotient rule

[feral drift]

so that's (u'v-uv')/v²

[serene canopy]

the answer is weird too

[feral drift]

its correct

[shrewd urchin]

Hello

[feral drift]

simplifying what i get

[serene canopy]

yea

[feral drift]

it'll be the same

try quotient rule

[serene canopy]

okay

lemme try

[feral drift]

here the sign between the 2 frac is supposed to be -ve, not +ve
in the 3rd step

silly error mb

[serene canopy]

np

thanks

i got the answer

should i close it?

[feral drift]

yeah sure

[feral drift]

ur welcome

[serene canopy]

+close